private space company is launching a network of about 13,000 satellites to provide internet connectivity globally. Each satellite has fuel to last about five years, upon which it will steer itself into the atmosphere in order to burn up. On average about four satellites per day are expected to do this. Some satellites may not burn up completely and fragments large enough to cause injury may reach the surface of the Earth. The company estimates that about 10 such fragments per satellite on average will reach the surface of the Earth. The probability that the company's satellite constellation will cause an injury is 0.43 every five years. Assume a Poisson distribution for fragments of satellites causing injury. Complete parts (a) through (d). a) What is the expected number of injuries every five years? (Round to three decimal places as needed.) b) What is the expected number of injuries per year? . (Round to three decimal places as needed.) c) What is the probability of injury in one year? (Round to three decimal places as needed.) d) On average, 150 meteorites large enough to cause injury reach the surface of the Earth each day. Does the satellite constellation pose a greater threat of injury than meteorites? e)The number of fragments from the satellite constellation reaching Earth per day is

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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private space company is launching a network of about 13,000 satellites to provide internet connectivity globally. Each satellite has fuel to last about five years, upon which it will steer itself into the atmosphere in order to burn up. On average about four satellites per day are expected to do this. Some satellites may not burn up completely and fragments large enough to cause injury may reach the surface of the Earth. The company estimates that about 10 such fragments per satellite on average will reach the surface of the Earth. The probability that the company's satellite constellation will cause an injury is 0.43 every five years. Assume a Poisson distribution for fragments of satellites causing injury. Complete parts (a) through (d).

a) What is the expected number of injuries every

five years?

(Round to three decimal places as needed.)

b) What is the expected number of injuries per year?

(Round to three decimal places as needed.)

c) What is the probability of injury in one year?

(Round to three decimal places as needed.)

d) On average, 150 meteorites large enough to cause injury reach the surface of the Earth each day. Does the satellite constellation pose a greater threat of injury than meteorites?

e)The number of fragments from the satellite constellation reaching Earth per day is

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